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Determine If the Given Function Y = F(x) Is a Solution

question 7

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Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: y=e7x7yy ^ { \prime } = e ^ { - 7 x } - 7 y
Initial condition: y(0)=0y ( 0 ) = 0
Solution candidate: y=7xe7xy = 7 xe ^ { - 7 x }

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